Question

The table below shows the illuminated percentage of the moon on a lunar cycle of 28 days. The relationship can be described using a cosine function.

A 2-column table with 5 rows. Column 1 is labeled d with entries 0, 7, 14, 21, 28. Column 2 is labeled percent with entries 0, 48, 96, 48, 0.

Use the drop-down menus to complete each statement.

The amplitude of the function is
.

The period of the function is
.

The graph has a vertical shift of
units.

Answer 1

StartSet (negative 8, negative 2), (negative 4, 1), (0, negative 2), (2, 3), (4, negative 4) EndSet

Step-by-step explanation:

The function is when there are sets of input and output values given and each input value hem has one corresponding output. Input values are unique but output values can be same for more than one input value.

A.........................................

A 2-column table with 5 rows. The first column is labeled x with entries negative 5, negative 3, negative 3, 0, 5. The second column is labeled y with entries 10, 5, 4, 0, negative 10.

Not a function as input values repeated: negative 3

B.........................................

StartSet (negative 8, negative 2), (negative 4, 1), (0, negative 2), (2, 3), (4, negative 4) EndSet

Yes, it is a function

C.........................................

A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 0, 1. The second column is labeled y with entries negative 3, negative 2, negative 1, 0, negative 1.

Not a function as input values repeated: 0

D.........................................

StartSet (negative 12, 4), (negative 6, 10), (negative 4, 15), (negative 8, 18), (negative 12, 24) EndSet

Not a function as input values repeated: negative 12

So correct one is option B

Answer 2

1. The amplitude of the function is 48.
2. The period of the function is 28.
3. The graph has a vertical shift of 48 units.